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Finding the Fourth Proportional to 7,807, 10,773.45 and 4,269.99

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Solution

The fourth proportional to 7,807, 10,773.45 and 4,269.99 is: 5,892.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,807 : 10,773.45 = 4,269.99 : x
  2. Step 2: Convert to fraction form
    7,807/10,773.45 = 4,269.99/x
  3. Step 3: Cross multiply
    7,807x = 10,773.45 × 4,269.99
  4. Step 4: Simplify right side
    7,807x = 46,002,523.77
  5. Step 5: Solve for x
    x = 46,002,523.77/7,807
  6. Step 6: Final answer
    x = 5,892.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.